Problem 6.102 - Problem 6.102 [Difficulty: 3] Given:...

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Problem 6.102 [Difficulty: 3] Given: Velocity field of irrotational and incompressible flow Find: Stream function and velocity potential; plot Solution: The velocity field is u qx 2 π x 2 yh () 2 + 2 π x 2 + 2 + + = v qy h 2 π x 2 2 + + 2 π x 2 + 2 + + = The basic equations are u y ψ = v x ψ = u x ϕ = v y ϕ = Hence for the stream function ψ y uxy , d = q 2 π atan x atan + x + fx + = ψ x vxy , d = q 2 π atan x atan + x + gy + = The simplest expression for ψ is ψ xy , q 2 π atan x atan + x + = For the stream function ϕ x ,
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Problem 6.102 - Problem 6.102 [Difficulty: 3] Given:...

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